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Finding the Fourth Proportional to 10,550.68, 14,559.69 and 5,834.86

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Solution

The fourth proportional to 10,550.68, 14,559.69 and 5,834.86 is: 8,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.68 : 14,559.69 = 5,834.86 : x
  2. Step 2: Convert to fraction form
    10,550.68/14,559.69 = 5,834.86/x
  3. Step 3: Cross multiply
    10,550.68x = 14,559.69 × 5,834.86
  4. Step 4: Simplify right side
    10,550.68x = 84,953,752.79
  5. Step 5: Solve for x
    x = 84,953,752.79/10,550.68
  6. Step 6: Final answer
    x = 8,051.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.